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Finding the Fourth Proportional to 2,359.62, 3,538.65 and 898.38

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Solution

The fourth proportional to 2,359.62, 3,538.65 and 898.38 is: 1,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.62 : 3,538.65 = 898.38 : x
  2. Step 2: Convert to fraction form
    2,359.62/3,538.65 = 898.38/x
  3. Step 3: Cross multiply
    2,359.62x = 3,538.65 × 898.38
  4. Step 4: Simplify right side
    2,359.62x = 3,179,052.39
  5. Step 5: Solve for x
    x = 3,179,052.39/2,359.62
  6. Step 6: Final answer
    x = 1,347.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.